Propagation of electromagnetic waves in structured materials at nano scales is an important topic for the construction of materials with completely new properties.
The questions concern the computation of the bandstrucure of the crystal to detect and forecast the allowed or prohibited transmissions, to find new materials with prescribed band gaps, to predict the consequences of local dotings, recover crystal properties from scattered data and study the behaviour of wave packets in crystals and wave guides.
The mathematical tools to deal with these problems range from analysis to numerical methods and include the following topics:
- Spectral theory of periodic differential operators, including Maxwell equations (Plum, Weis)
- Numerical approximation for Maxwell equations (Dörfler)
- Numerical solutions to large-scale eigenvalue problems (Wieners)
- Inverse problems (scattering theory) for Maxwell equations (Kirsch)
- Nonlinear dynamics of modulated pulses (Schneider)
Furthermore, the workshop will include practical exercises and short communications on recent results and developments.
P. Monk: Finite element methods for Maxwell's equations, Clarendon Press, 2003.
- full name and address, including e-mail address
- present position, university
- name of supervisor of Ph.D. thesis
- a short summary of previous work and interest
should be sent as hard copy or by e-mail (.ps or .pdf file) to:
Prof. Dr. Gert-Martin Greuel
Universität Kaiserslautern
Fachbereich Mathematik
Erwin Schrödingerstr.
67663 Kaiserslautern, Germany
.